futureauthor084 futureauthor084
  • 07-02-2017
  • Mathematics
contestada

find the meaure of the central angle the sector area is 169.56 and the radius is 9

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Jedimaster13
Jedimaster13 Jedimaster13
  • 07-02-2017
Since the area of a circle is π[tex] r^{2} [/tex], and our radius is 9 we know the total area to be 254.469, and the ratio of sector area to total area is 169.56/254.469 = .6663. There are 360 degrees in a circle, so: [tex]c = 360(.6663) [/tex] ≈ 240°

240 degrees
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